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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 609 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.What is the additive inverse of 4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  2. 2.What is the reciprocal (multiplicative inverse) of 2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  3. 3.Write −9/12 in standard form (lowest terms, positive denominator). (a) −9/12 (b) −4/3 (c) −3/4 (d) 3/4
  4. 4.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 1/3 (c) 3 (d) −3
  5. 5.Write −5/45 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) 1/9 (d) −5/45
  6. 6.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  7. 7.Which is bigger: −7/8 or −3/8? (a) −3/8 (b) −7/8
  8. 8.Is −8/(−3) positive or negative? (a) Positive (b) Negative
  9. 9.What is 1/9 + (−4/5)? (a) 41/45 (b) 31/45 (c) −3/14 (d) −31/45
  10. 10.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  11. 11.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −12/20 (d) −3/5
  12. 12.Which is bigger: −2/9 or 4/7? (a) −2/9 (b) 4/7
  13. 13.Which is bigger: −1/8 or −5/7? (a) −5/7 (b) −1/8
  14. 14.What is (−1/5) + 7/9? (a) −26/45 (b) 3/7 (c) −44/45 (d) 26/45
  15. 15.Write −15/24 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −15/24 (d) −8/5
  16. 16.Is −4/3 positive or negative? (a) Negative (b) Positive
  17. 17.What is 2/3 + (−5/7)? (a) −3/10 (b) −1/21 (c) 29/21 (d) 1/21
  18. 18.Which is smaller: −1/5 or −7/8? (a) −7/8 (b) −1/5
  19. 19.Which is smaller: −1/4 or 5/7? (a) 5/7 (b) −1/4
  20. 20.What is (−1/4) + 7/8? (a) 1/2 (b) −9/8 (c) −5/8 (d) 5/8
  21. 21.What is 7/9 + (−4/7)? (a) −13/63 (b) 3/16 (c) 13/63 (d) 85/63
  22. 22.What is the additive inverse of 2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  23. 23.What is (−2/5) + (−8/9)? (a) −5/7 (b) 22/45 (c) −58/45 (d) 58/45
  24. 24.What is the additive inverse of 5/7? (a) 5/7 (b) −7/5 (c) −5/7 (d) 7/5
  25. 25.Write −4/14 in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −4/14 (d) −7/2
  26. 26.What is 4/5 + (−1/2)? (a) 3/7 (b) 3/10 (c) 13/10 (d) −3/10
  27. 27.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) 3/7 (c) 7/3 (d) −3/7
  28. 28.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −28/36 (d) 7/9
  29. 29.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −6/24 (c) −1/4 (d) −4/1
  30. 30.Which is bigger: −3/8 or −4/9? (a) −4/9 (b) −3/8
  31. 31.What is (−1/5) + 2/9? (a) 1/45 (b) −1/45 (c) −19/45 (d) 1/14
  32. 32.What is (−3/4) + 3/4? (a) 0 (b) −3/2
  33. 33.What is the additive inverse of −1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
  34. 34.What is the additive inverse of 5/6? (a) −5/6 (b) 5/6 (c) −6/5 (d) 6/5
  35. 35.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −12/16 (c) 3/4 (d) −4/3
  36. 36.What is (−4/7) − (−1/6)? (a) −17/42 (b) −31/42 (c) 17/42 (d) −3/13
  37. 37.Which is smaller: −5/9 or −5/8? (a) −5/9 (b) −5/8
  38. 38.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −12/30 (d) −2/5
  39. 39.Which is bigger: −3/4 or −2/9? (a) −2/9 (b) −3/4
  40. 40.What is (−1/2) − 1/6? (a) −1/4 (b) 2/3 (c) −2/3 (d) −1/3

Answer key

  1. −4/5
  2. 7/2
  3. −3/4
  4. −3
  5. −1/9
  6. Negative
  7. −3/8
  8. Positive
  9. −31/45
  10. Positive
  11. −3/5
  12. 4/7
  13. −1/8
  14. 26/45
  15. −5/8
  16. Negative
  17. −1/21
  18. −7/8
  19. −1/4
  20. 5/8
  21. 13/63
  22. −2/9
  23. −58/45
  24. −5/7
  25. −2/7
  26. 3/10
  27. −7/3
  28. −7/9
  29. −1/4
  30. −3/8
  31. 1/45
  32. 0
  33. 1/3
  34. −5/6
  35. −3/4
  36. −17/42
  37. −5/8
  38. −2/5
  39. −2/9
  40. −2/3

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